scholarly journals Geometrical significance of the Löwner-Heinz inequality

1999 ◽  
Vol 128 (4) ◽  
pp. 1031-1037 ◽  
Author(s):  
E. Andruchow ◽  
G. Corach ◽  
D. Stojanoff
Keyword(s):  
Heinz Inequality ◽  
Geometrical Significance

A New Proof of an Inequality of Heinz

1964 ◽  
Vol 7 (1) ◽  
pp. 97-100
Author(s):  
P. S. Bullen
Keyword(s):  
Convexity Theorem ◽  
Heinz Inequality ◽  
Measure Spaces

In a recent paper, [l], Dixmier has proved Heinz' inequality by deducing it from a lemma due to Thorin. In this note it is proved directly from a convexity theorem.Let(M(k), ℳ(k), μ(k)), k = 0, …, n, be measure spaces and Lq(k) (M(k), ℳ(k), μ(k)) be all the functions on M(k) such that

scholarly journals Norm inequalities equivalent to Heinz inequality

1993 ◽  
Vol 118 (3) ◽  
pp. 827-827 ◽  
Author(s):  
Junichi Fujii ◽  
Masatoshi Fujii ◽  
Takayuki Furuta ◽  
Ritsuo Nakamoto
Keyword(s):  
Heinz Inequality ◽  
Norm Inequalities

A certain generalization of the Heinz inequality for positive operators

2016 ◽  
Vol 27 (02) ◽  
pp. 1650008 ◽  
Author(s):  
Hideki Kosaki
Keyword(s):  
Positive Operators ◽  
Unitarily Invariant Norm ◽  
Heinz Inequality ◽  
Norm Inequalities ◽  
Invariant Norm

Norm inequalities of the form [Formula: see text] with [Formula: see text] and [Formula: see text] are studied. Here, [Formula: see text] are operators with [Formula: see text] and [Formula: see text] is an arbitrary unitarily invariant norm. We show that the inequality holds true if and only if [Formula: see text].

Sign in / Sign up

Export Citation Format

Share Document